Artigo
Gravitation and duality symmetry
Fecha
2005-09-01Registro en:
International Journal of Modern Physics D. Singapore: World Scientific Publ Co Pte Ltd, v. 14, n. 9, p. 1635-1648, 2005.
0218-2718
10.1142/S0218271805007218
WOS:000232705600012
1599966126072450
Autor
Universidade de Brasília (UnB)
Universidade Estadual Paulista (Unesp)
Resumen
By generalizing the Hodge dual operator to the case of soldered bundles, and working in the context of the teleparallel equivalent of general relativity, an analysis of the duality symmetry in gravitation is performed. Although the basic conclusion is that, at least in the general-case, gravitation is not dual symmetric, there is a particular theory in which this symmetry shows up. It is a self dual (or anti-self dual) teleparallel gravity in which, due to the fact that it does not contribute to the interaction of fermions with gravitation, the purely tensor part of torsion is assumed to vanish. The ensuing fermionic gravitational interaction is found to be chiral. Since duality is intimately related to renormalizability, this theory may eventually be more amenable to renormalization than telepaxallel gravity or general relativity.